The handguard requirements are 1.02" minimum from the center of the barrel to the inside top of the handguard and the top rail internal width must be at least .500". The link below will show you a list of compatible handguards. Adams Arms does not state if their BCG is full auto rated and I recommend contacting Adams Arms for that information.
https://adamsarms.net/faq/#1606555356337-ad0a9226-350b